STATS 250 Lecture Notes - Lecture 11: Sampling Distribution, Binomial Distribution, Statistical Parameter
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Let x = the number of left- handed americans in a random sample of 120 americans. Then x has an exact binomial distribution with n = 120 and p = 0. 10. The mean number of left-handed americans in the sample is = = 120(cid:4666)0. 10(cid:4667)= 12. And the standard deviation of x = = (cid:4666)1 (cid:4667)= 120(cid:4666)0. 10(cid:4667)(cid:4666)0. 90(cid:4667)= 3. 2863: probability that a random sample will contain 20 or fewer left- handed americans. Since np = 120(0. 10) = 12 and n(1-p)= 120(0. 90) = 108 are both at least 10, we can use normal approximation. X has approximately normal distribution: n (12, 3. 29) A probability sample of 100 full-time workers in the united. = 46% or 0. 46: what is the sampling distribution of, visualization (1) sampling distributions for a sample proportion (various values of n and p) y t i l i b a b o r. 0 y t i l i b a b o r.
